1716648982272 has 432 divisors, whose sum is σ = 5885666538752. Its totient is φ = 488835440640.

The previous prime is 1716648982261. The next prime is 1716648982289. The reversal of 1716648982272 is 2722898466171.

It is a happy number.

1716648982272 is a `hidden beast` number, since 1 + 7 + 1 + 6 + 6 + 489 + 82 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133678572 + ... + 133691412.

Almost surely, 2^{1716648982272} is an apocalyptic number.

1716648982272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1716648982272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2942833269376).

1716648982272 is an abundant number, since it is smaller than the sum of its proper divisors (4169017556480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1716648982272 is an equidigital number, since it uses as much as digits as its factorization.

1716648982272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13186 (or 13160 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 1716648982272 in words is "one trillion, seven hundred sixteen billion, six hundred forty-eight million, nine hundred eighty-two thousand, two hundred seventy-two".